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A ball is thrown horizontally from a cliff such that it strikes the ground after 5s. The line of sight makes an angle 37⁰ with the horizontal. The initial velocity of projection in ms^-1 is

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$\frac{100}{\sqrt{3}}$

$\frac{100}{\sqrt{2}}$

$\frac{100}{3}$

answer is D.

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Detailed Solution

$\tan 37^{0} = \frac{3}{4}$

$T = \sqrt{\frac{2 h}{g}}$

$\Rightarrow h = \frac{g T^{2}}{2} = \frac{10 \times 25}{2} = 125 m$

$\tan θ = \frac{h}{R}, R = uT$

$\Rightarrow uT \tan θ = h$

$\Rightarrow u \times 5 \times \frac{3}{4} = 125$

$\Rightarrow u = \frac{100}{3} m / s$

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